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Finding the Third Proportional to 145,840 and 224,983

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Solution

The third proportional to 145,840 and 224,983 is: 347,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,840 : 224,983 = 224,983 : x
  2. Step 2: Convert to fraction form
    145,840/224,983 = 224,983/x
  3. Step 3: Cross multiply
    145,840x = 224,983 × 224,983
  4. Step 4: Simplify right side
    145,840x = 50,617,350,289
  5. Step 5: Solve for x
    x = 50,617,350,289/145,840
  6. Step 6: Final answer
    x = 347,074.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.